Allowed domains for the parameters of (3, 3*) direct-sum (3*, 3) direct- sum (8, 8) chiral symmetry breaking

Journal Article · Mon Mar 01 04:00:00 EST 1976 · Phys. Rev., D, v. 13, no. 5, pp. 1437-1448

OSTI ID:4015997

Geddes, H B; Graham, R H

The allowed domains of the parameters describing a chiral-symmetry- breaking Hamiltonian belonging to the (3, 3*) direct-sum (3*, 3) direct-sum (8, 8) representations of SU(3) x SU(3) are investigated. In addition to constraints on these parameters arising from spectral-function positivity we employ conditions corresponding to bounds on the ratio f/subK//f/sub pi/ of kaon- to pion-decay constants and on the $pi$$pi$ S-wave I = 0 and 2 scattering lengths. It is found that these constraints are extremely effective in reducing the size of the allowed domains. Particular attention is focused on the Gell-Mann--Oakes-- Renner, Okubo, and Sirlin-Weinstein forms of symmetry breaking, which are special cases of the general (3, 3*) direct-sum (3*, 3) direct-sum (8, 8) scheme. (AIP)

• Research Organization: Department of Physics, University of Toronto, Toronto, Ontario, Canada, M5S 1A7
• NSA Number: NSA-33-031563
• OSTI ID: 4015997
• Journal Information: Phys. Rev., D, v. 13, no. 5, pp. 1437-1448, Journal Name: Phys. Rev., D, v. 13, no. 5, pp. 1437-1448; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*CHIRAL SYMMETRY-- SYMMETRY BREAKING
641201*
IRREDUCIBLE REPRESENTATIONS
N64310* --Physics (High Energy)--Particle Invariance Principles & Symmetry--General
PION-KAON INTERACTIONS
PION-PION INTERACTIONS
S WAVES
SPECTRAL FUNCTIONS
SU-3 GROUPS